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uncountable set
(redirected from Nondenumerable)

    Also found in: Wikipedia 0.03 sec.
uncountable set [¦ən′kau̇nt·ə·bəl ′set]
(mathematics)
An infinite set which cannot be put in one-to-one correspondence with the set of integers; for example, the set of real numbers.
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Gauss' diagonal method proves neither the existence of nondenumerable set nor a continuum; it proves only the existence of countably infinite set, i.
THE FINAL STRETCH IN THE CONSTRUCTION OF THE NEW REAL NUMBER SYSTEM ... by E. E. Escultura / Biological sciences community
7) In the course of making a critique of the real number system some new results have been found: a) Gauss diagonal method of proving the existence of nondenumerable set only generates a countably infinite set; b) as of this time no nondenumerable set exists; c) only discrete set has cardinality, a continuum has none.
SUMMATION OF DEBATE ON TH NEW REAL NUMBER SYSTEM AND RESOLUTION OF FLT by E. E. Escultura / Biological sciences community
 
 
 
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